We formulate some existence theorems for systems of elliptic equations with nonlocal terms. The proofs are based on the invariant region method. The results are applied to a multitemperature model of laser sustained plasma.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-7, author = {B. Ka\'zmierczak}, title = {Some existence theorems for nonlocal elliptic systems. Application to laser plasma}, journal = {Applicationes Mathematicae}, volume = {28}, year = {2001}, pages = {311-327}, zbl = {1009.35084}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-7} }
B. Kaźmierczak. Some existence theorems for nonlocal elliptic systems. Application to laser plasma. Applicationes Mathematicae, Tome 28 (2001) pp. 311-327. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-3-7/